@Mauritio Thanks for posting and renewing our attention to horseradish!
Eating is good (clears out sinuses, anti-bacterial, etc.)
The 1st paper you've referenced, however, considers the extract for "LPS-induced inflammation in macrophages" to concentrate the acting agents, I suppose "allyl-isothiocyanate (AITC) effects, its main ITC resulting from the hydrolysis of the corresponding glucosinolate sinigrin by myrosinase enzyme".
So, indeed very small dose is needed (the highest dilution of the extract was 1/5th) to achieve the effects. The powder extract itself was prepared in a rather standard lab way. I am surprised though how weak it is:
10g:100ml | material (freeze-dried root) to alcohol ratio.
All in all, I think making a simple horseradish alcohol tincture and using it in 1-3 drop doses will be close to the study in terms of effects on LPS-induced inflammation.
Specifically: Take 20g of horseradish (middle of the) root, wash, finely chop, put into a glass jar, add 40ml of the highest proof alcohol you can find but no less than 100 proof. Cover with lid tightly and let sit in a dark place for 2-3 weeks or more. Shake from time to time. Strain (decant) and -- voilà -- the strained liquid is your horseradish tincture.
It looks like the study pre-treated cells with the dilution for 1h and then exposed to LPS for 24 hours before measurements. Based on this, as preventative, I'd take 1-3 drops of the tincture in a bit of water 1x per day.